Answer:
The area is 120 cm²
the perimeter is 52 cm
Explanation:
The rhombus area is given by:
A = D * d / 2
that is, the larger diagonal D by the smaller diagonal d, between two, we know that D = 24 cm and d = 10 cm, replacing:
A = 24 * 10/2
A = 120
The area is 120 cm²
To calculate the perimeter use the Pythagorean theorem
h² = a² + b²
Since if you look at the rhombus it is formed by four right triangle we will take 1 of them with the following measures 5 cm (10/2) and height 12 cm (24/2) and replace:
h² = 5² + 12²
h² = 169
h = 13
now, the perimeter would be the sum of all its sides, which in this case are equal and measure 13 cm, therefore:
p = 4 * 13
p = 52
which means that the perimeter is 52 cm